Annabel wants to make banana bread for the bake sale. She went to the market to buy bananas, and she noticed fruit flies after she returned home with her produce. The number of fruit flies grows at an exponential rate modeled by the equation f(t)=8(2)t

Question

𝑓
(
𝑡
)
=
8
(
2
)
𝑡
, where f is the number of fruit flies after t days. Define an appropriate domain for the problem if Annabel bakes the banana bread 5 days after returning from the market.(1 point)
Responses

0≤f≤256
0
≤
𝑓
≤
256
0 less than or equal to f less than or equal to 256

0≤f≤5
0
≤
𝑓
≤
5
0 less than or equal to f less than or equal to 5

0≤t≤256
0
≤
𝑡
≤
256
0 less than or equal to t less than or equal to 256

0≤t≤5
0
≤
𝑡
≤
5
0 less than or equal to t less than or equal to 5

Answer 1

In this scenario, we are interested in the time duration from when Annabel returns home with the bananas until she bakes the banana bread, which is 5 days later.

The function \( f(t) = 8(2)^t \) models the number of fruit flies, where \( t \) is the number of days after returning from the market. Since she bakes the banana bread 5 days after returning, the appropriate domain for \( t \) (the number of days) would be from 0 to 5.

Thus, the correct domain is:

\[ 0 \leq t \leq 5 \]

So the appropriate response is:

0 ≤ t ≤ 5.